Danger.

In 1882, the task [of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge] was proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem which proves that pi (π) is a transcendental, rather than an algebraic irrational number; that is, it is not the root of any polynomial with rational coefficients. It had been known for some decades before then that if π were transcendental then the construction would be impossible, but that π is transcendental was not proven until 1882. Approximate squaring to any given non-perfect accuracy, in contrast, is possible in a finite number of steps, since there are rational numbers arbitrarily close to π.

So be GOOD! For Goodness saaaaaaaaake!  WHOAOOOOOOOOOOOOHHH.  Somebody’s comin!